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Finding the Fourth Proportional to 10,490.63, 15,730.81 and 4,939.29

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Solution

The fourth proportional to 10,490.63, 15,730.81 and 4,939.29 is: 7,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.63 : 15,730.81 = 4,939.29 : x
  2. Step 2: Convert to fraction form
    10,490.63/15,730.81 = 4,939.29/x
  3. Step 3: Cross multiply
    10,490.63x = 15,730.81 × 4,939.29
  4. Step 4: Simplify right side
    10,490.63x = 77,699,020.18
  5. Step 5: Solve for x
    x = 77,699,020.18/10,490.63
  6. Step 6: Final answer
    x = 7,406.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.